Anomalies, renormalization group flows, and the atheorem in sixdimensional (1, 0) theories
We establish a linear relation between the atype Weyl anomaly and the ’t Hooft anomaly coeffcients for the Rsymmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch Δa to the square of a fourderivative interaction for the dilaton. This establishes the atheorem for all such flows. The fourderivative dilaton interaction is in turn related to the GreenSchwarzlike terms that are needed to match the ’t Hooft anomalies on the tensor branch, thus fixing their relation to Δa. We use our formula to obtain exact expressions for the aanomaly of N small E _{8} instantons, as well as N M _{5}branes probing an orbifold singularity, and verify the atheorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.
 Authors:

^{[1]};
^{[1]};
^{[2]}
 Harvard Univ., Cambridge, MA (United States)
 Univ. of California, San Diego, CA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0007870
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Harvard Univ., Cambridge, MA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1425881
Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. Anomalies, renormalization group flows, and the atheorem in sixdimensional (1, 0) theories. United States: N. p.,
Web. doi:10.1007/JHEP10(2016)080.
Córdova, Clay, Dumitrescu, Thomas T., & Intriligator, Kenneth. Anomalies, renormalization group flows, and the atheorem in sixdimensional (1, 0) theories. United States. doi:10.1007/JHEP10(2016)080.
Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. 2016.
"Anomalies, renormalization group flows, and the atheorem in sixdimensional (1, 0) theories". United States.
doi:10.1007/JHEP10(2016)080. https://www.osti.gov/servlets/purl/1425881.
@article{osti_1425881,
title = {Anomalies, renormalization group flows, and the atheorem in sixdimensional (1, 0) theories},
author = {Córdova, Clay and Dumitrescu, Thomas T. and Intriligator, Kenneth},
abstractNote = {We establish a linear relation between the atype Weyl anomaly and the ’t Hooft anomaly coeffcients for the Rsymmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch Δa to the square of a fourderivative interaction for the dilaton. This establishes the atheorem for all such flows. The fourderivative dilaton interaction is in turn related to the GreenSchwarzlike terms that are needed to match the ’t Hooft anomalies on the tensor branch, thus fixing their relation to Δa. We use our formula to obtain exact expressions for the aanomaly of N small E8 instantons, as well as N M5branes probing an orbifold singularity, and verify the atheorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.},
doi = {10.1007/JHEP10(2016)080},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}